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Finding the Fourth Proportional to 165,764.40, 248,353.80 and 160,282.80

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Solution

The fourth proportional to 165,764.40, 248,353.80 and 160,282.80 is: 240,141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,764.40 : 248,353.80 = 160,282.80 : x
  2. Step 2: Convert to fraction form
    165,764.40/248,353.80 = 160,282.80/x
  3. Step 3: Cross multiply
    165,764.40x = 248,353.80 × 160,282.80
  4. Step 4: Simplify right side
    165,764.40x = 39,806,842,454.64
  5. Step 5: Solve for x
    x = 39,806,842,454.64/165,764.40
  6. Step 6: Final answer
    x = 240,141.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.